A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps

作者：Huels Thorsten

来源：SIAM Journal on Applied Dynamical Systems, 2016, 15(2): 923-951.

DOI：10.1137/140999815

• invariant fiber bundles
• discrete time dynamical systems
• noninvertible and nonautonomous dynamics
• numerical approximation
• contour method

Stable fiber bundles are the nonautonomous analogue of stable manifolds, and these objects provide valuable information on the underlying dynamics. We propose an algorithm for their computation that applies to a wide class of models, including noninvertible and nonautonomous discrete time systems. Precise error estimates are provided, and fiber bundles are computed for several examples.

• 出版日期2016